Item Details

title

Hodge Numbers of Elliptically Fibered Calabi-Yau Manifolds

author

Yu, Chuanyang

abstract

In this thesis, we work on generalized homology theory and go over the proof of Poincare Duality in the first part. In the second part we work over the basic ideas of Lie algebras and algebraic geometry. In the third part, we worked through Tate's algorithm, Washington Taylor's method, and other methods in deriving the Hodge number of Calabi-Yau threefold, and we discuss our own approaches with the help of computer algebra system code written by Peter Merkx.

contributor

Raynor, Sarah (advisor)

Moore, Frank W (committee member)

Carlson, Eric D (committee member)

Merkx, Peter (committee member)

date

2023-07-25T17:48:34Z (accessioned)

2023-07-25T17:48:34Z (available)

2023 (issued)

degree

Mathematics (discipline)

identifier

http://hdl.handle.net/10339/102240 (uri)

language

en (iso)

publisher

Wake Forest University

type

Thesis